Recent content by BiPi

Does Not Showing V is not closed in U, implies V is closed in U?

In your example, the limit xm=1/m" role="presentation">xm=1/m converges to zero, out of U and V, but You claim V is closed, as far as I know, a closed interval contains all its limits, what am I missing?

I think it is, am I right?

The Brian Hall's book reads: A Lie group is any subgroup G of GL(n,C) with the following property: If Am is a secuence of matrices in G, and Am converges to some matrix A then either A belongs to G, or A is not invertible. Then He concludes G is closed en GL(n,C), ¿How can this be possible, if...